| Abstract |
Probabilities in quantum theory are traditionally given by Born’s rule as the expectation values of projection operators. Here it is shown that Born’s rule is insufficient in universes so large that they contain identical multiple copies of observers, because one does not have definite projection operators to apply. Possible replacements for Born’s rule include using the expectation value of various operators that are not projection operators, or using vari-.
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Citations of this work BETA
Self-Locating Uncertainty and the Origin of Probability in Everettian Quantum Mechanics.Charles T. Sebens & Sean M. Carroll - 2016 - British Journal for the Philosophy of Science (1):axw004.
Many Worlds, the Born Rule, and Self-Locating Uncertainty.Sean M. Carroll & Charles T. Sebens - 2014 - In Daniele C. Struppa & Jeffrey M. Tollaksen (eds.), Quantum Theory: A Two-Time Success Story. Springer. pp. 157-169.
Probabilistic Reasoning in Cosmology.Yann Benétreau-Dupin - 2015 - Dissertation, The University of Western Ontario
Normalized Observational Probabilities From Unnormalizable Quantum States or Phase-Space Distributions.Don N. Page - 2018 - Foundations of Physics 48 (7):827-836.
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